42793105320 has 192 divisors, whose sum is σ = 162190080000. Its totient is φ = 9781252992.

The previous prime is 42793105273. The next prime is 42793105363. The reversal of 42793105320 is 2350139724.

42793105320 is a `hidden beast` number, since 4 + 27 + 93 + 10 + 532 + 0 = 666.

It is a super-2 number, since 2×42793105320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49800 + ... + 296759.

It is an arithmetic number, because the mean of its divisors is an integer number (844740000).

Almost surely, 2^42793105320 is an apocalyptic number.

42793105320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42793105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81095040000).

42793105320 is an abundant number, since it is smaller than the sum of its proper divisors (119396974680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42793105320 is a wasteful number, since it uses less digits than its factorization.

42793105320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346597 (or 346576 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 42793105320 in words is "forty-two billion, seven hundred ninety-three million, one hundred five thousand, three hundred twenty".